First expression: (-7)/(-4)
Divide. Note that two negative numbers divided will result in a positive answer
(-7)/(-4) = 7/4 = 1.75
First expression: Greater than 1.
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Second expression: -(3/2)
Simplify: 3/2 = 1.5
-(1.5) = -1.5
Second expression: Less than -1
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Third expression: (-8/5) x (-5/8)
Note that two negatives = one positive answer when multiplying
8/5 x 5/8 = 40/40 = 1
Third expression: Neither
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Fourth Expression: (-5)/(-3)
Divide: (-5)/(-3) = 5/3 = ~1.67
Fourth Expression: Greater than 1
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Fifth Expression: (-9)/6
Divide: (-9)/6 = -1.5
Fifth expression: Less than -1
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hope this helps
Answer:
7 ^ 6x + 2 = 7^15
taking log on both the sides
log 7^6x + 2 = log 7^15
6x + 2 log 7 = 15 log 7
log 7
Benny started with 55 five cards. In order for his dog to have eaten half his cards and end up with 30 cards, that would mean he had 60 cards. Mind you, he had bought 5 more the day before his dog ate them. I hope that makes sense
D. 1
2x-8=-6
+8 +8
2x=2
— —
2x 2
X = 1
The objective function is simply a function that is meant to be maximized. Because this function is multivariable, we know that with the applied constraints, the value that maximizes this function must be on the boundary of the domain described by these constraints. If you view the attached image, the grey section highlighted section is the area on the domain of the function which meets all defined constraints. (It is all of the inequalities plotted over one another). Your job would thus be to determine which value on the boundary maximizes the value of the objective function. In this case, since any contribution from y reduces the value of the objective function, you will want to make this value as low as possible, and make x as high as possible. Within the boundaries of the constraints, this thus maximizes the function at x = 5, y = 0.
